231645751727569 has 27 divisors (see below), whose sum is σ = 252914349554643. Its totient is φ = 212118344610048.

The previous prime is 231645751727567. The next prime is 231645751727573. The reversal of 231645751727569 is 965727157546132.

The square root of 231645751727569 is 15219913.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 22215998158225 + 209429753569344 = 4713385^2 + 14471688^2 .

It is not a de Polignac number, because 231645751727569 - 2¹ = 231645751727567 is a prime.

It is a super-2 number, since 2×231645751727569² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 231645751727498 and 231645751727507.

It is not an unprimeable number, because it can be changed into a prime (231645751727561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9573313179 + ... + 9573337375.

Almost surely, 2^{231645751727569} is an apocalyptic number.

231645751727569 is the 15219913-rd square number.

231645751727569 is the 7609957-th centered octagonal number.

It is an amenable number.

231645751727569 is a deficient number, since it is larger than the sum of its proper divisors (21268597827074).

231645751727569 is an frugal number, since it uses more digits than its factorization.

231645751727569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48502 (or 24251 counting only the distinct ones).

The product of its digits is 666792000, while the sum is 70.

The spelling of 231645751727569 in words is "two hundred thirty-one trillion, six hundred forty-five billion, seven hundred fifty-one million, seven hundred twenty-seven thousand, five hundred sixty-nine".